curl --request POST \
  --url https://api.fincept.in/quantlib/physics/entropy/tsallis \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "probabilities": [
    0.7,
    0.15,
    0.1,
    0.05
  ],
  "q": 1.5
}
'

{
  "success": true,
  "data": {
    "tsallis_entropy": 0.7845,
    "q": 1.5
  }
}

quantlib-physics

Calculate Tsallis Entropy

Calculates the Tsallis entropy, a non-extensive generalization of Shannon entropy parameterized by q. Particularly useful for systems with long-range correlations, power-law distributions, and non-equilibrium states common in financial markets. q=1 recovers Shannon entropy.

Use Cases:

Analyze fat-tailed return distributions
Model markets with long-range correlations
Study non-equilibrium market dynamics
Measure complexity in fractal market structures
Assess systemic risk in interconnected systems

Formula: S_q(X) = (1 - Σ p(x)^q) / (q - 1)

Credits: 5 credits per request (Pro Tier) [Tier: ENTERPRISE, Credits: 10]

POST

quantlib

physics

entropy

tsallis

curl --request POST \
  --url https://api.fincept.in/quantlib/physics/entropy/tsallis \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "probabilities": [
    0.7,
    0.15,
    0.1,
    0.05
  ],
  "q": 1.5
}
'

{
  "success": true,
  "data": {
    "tsallis_entropy": 0.7845,
    "q": 1.5
  }
}

Authorizations

X-API-Key

string

header

required

API key for authentication. Get your key at https://api.fincept.in/auth/register

Body

application/json

probabilities

number[]

required

Discrete probability distribution (must sum to 1)

Example:

[0.5, 0.3, 0.15, 0.05]

number

required

Tsallis parameter (q<1: super-extensive, q=1: Shannon entropy, q>1: sub-extensive)

Example:

1.5

Response

Tsallis entropy calculated successfully

success

boolean

Example:

true

data

object

Show child attributes

Calculate Renyi Entropy

Calculate Kullback-Leibler Divergence